# How do you write the equation for the circle with center (6,-5) and radius r=4?

Jun 6, 2016

${\left(x - 6\right)}^{2} + {\left(y + 5\right)}^{2} = 16$

#### Explanation:

The standard form of the equation of a circle is.

$\textcolor{red}{| \overline{\underline{\textcolor{w h i t e}{\frac{a}{a}} \textcolor{b l a c k}{{\left(x - a\right)}^{2} + {\left(y - b\right)}^{2} = {r}^{2}} \textcolor{w h i t e}{\frac{a}{a}} |}}}$
where (a ,b) are the coordinates of the centre and r , the radius.

here a = 6 , b = -5 and r = 4

$\Rightarrow {\left(x - 6\right)}^{2} + {\left(y + 5\right)}^{2} = 16 \text{ is the equation of circle}$